Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
A. Serbetci
Ankara Üniversitesi, Türkiye
E. Guner
Ankara Üniversitesi, Türkiye
S. Balci
İstanbul Aydın Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1025-5834 | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2009 |
| Cilt / Sayı / Sayfa | 2009 / 1 / – | DOI | 10.1155/2009/864191 |
| Makale Linki | https://doi.org/10.1155/2009/864191 | ||
| Özet |
| The Meda inequality for rearrangements of the convolution operator on the Heisenberg group H(n) is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient and necessary conditions for the boundedness of the fractional maximal operator M(Omega,alpha) a and fractional integral operator I(Omega,alpha) a with rough kernels in the spaces L(p)(H(n)) are found. Finally, we give some comments on the extension of our results to the case of homogeneous groups. Copyright (C) 2009 V. S. Guliyev et al. |
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